school
Acemy

Integration by Substitution

AP Calculus AB· difficulty 2/5

∫5(2x+1)4 dx=\displaystyle\int 5(2x+1)^4\,dx =

  • A

    5(2x+1)55+C\dfrac{5(2x+1)^5}{5} + C

  • B

    5(2x+1)510+C\dfrac{5(2x+1)^5}{10} + C

  • C

    (2x+1)52+C\dfrac{(2x+1)^5}{2} + C

    check_circle
  • D

    (2x+1)52+C\dfrac{(2x+1)^5}{2} + C

Explanation

u=2x+1u = 2x+1, du=2 dxdu = 2\,dx. 5∫u4 du/2=5u5/10=u5/25 \int u^4\,du/2 = 5 u^5/10 = u^5/2.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode